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122942064 = 2437367997
BaseRepresentation
bin1110101001111…
…11001001110000
322120100002210210
413110333021300
5222433121224
620111024120
73021663450
oct724771160
9276302723
10122942064
1163441213
123520b040
131c6170ab
1412483d60
15abd7429
hex753f270

122942064 has 80 divisors (see below), whose sum is σ = 364325888. Its totient is φ = 34995456.

The previous prime is 122942051. The next prime is 122942069. The reversal of 122942064 is 460249221.

It is a super-2 number, since 2×1229420642 = 30229502201160192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122942069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122814 + ... + 123810.

Almost surely, 2122942064 is an apocalyptic number.

122942064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122942064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182162944).

122942064 is an abundant number, since it is smaller than the sum of its proper divisors (241383824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122942064 is a wasteful number, since it uses less digits than its factorization.

122942064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 122942064 is about 11087.9242421654. The cubic root of 122942064 is about 497.2408879403.

The spelling of 122942064 in words is "one hundred twenty-two million, nine hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 367 734 997 1101 1468 1994 2202 2569 2936 2991 3988 4404 5138 5872 5982 6979 7707 7976 8808 10276 11964 13958 15414 15952 17616 20552 20937 23928 27916 30828 41104 41874 47856 55832 61656 83748 111664 123312 167496 334992 365899 731798 1097697 1463596 2195394 2561293 2927192 4390788 5122586 5854384 7683879 8781576 10245172 15367758 17563152 20490344 30735516 40980688 61471032 122942064